Answer:
48 cm^3
Step-by-step explanation:
You can count the cubes in the top layer and make the reasonable assumption that the other two layers have the same number:
(16 cm^3)×3 = 48 cm^3
_____
<em>Alternate solution</em>
The formula for the volume of a rectangular prism is ...
V = LWH
That is, it is the product of the three dimensions.
V = (4 cm)(4 cm)(3 cm)
V = 48 cm^3
Answer:
40.8 minutes
Step-by-step explanation:
Element X decays radioactively with a half life of 8 minutes. If there are 480 grams of Element X, how long, to the nearest tenth of a minute, would it take the element to decay to 14 grams?
The formula to find how long it would take which is the time elapsed is given as:
t = t½ × In(Nt/No)/-In2
t = ?
t½ = 8 minutes
Nt = Amount after the time of decay = 14 grams
No = Original Amount of substances = 480 grams
t = 8 × In(14/480)/-In2
t = 40.796285388407 minutes
Approximately to the nearest tenth = 40.8 minutes
Therefore, it would take the element X, 40.8 minutes to decay to 14 grams
We are given
Angles α and β are angles in standard position
and
α terminates in Quadrant II
β terminates in Quadrant I
and we have

we can use triangle and find cos(α)
we get

and we have

we can draw triangle

now, we can use formula

now, we can plug values

now, we can simplify it




...............Answer
Answer: No it is not.
Step-by-step explanation: A rational number is a number that can easily be expressed as a fraction or decimal, and square root of 7 cannot be easily expressed.